Answer:
3
Step-by-step explanation:
Parallel lines have the same slope
So if line Q has a slope of 3
Line R which is parallel to Q must have a slope of 3
Answer:
x= 4, -1
Step-by-step explanation:
-2x - 2 + x^2 + x + 180 - 2x - 2 = 180
add like terms and put in descending order
x^2 - 3x + 176 = 180
subtract 180 from both sides
x^2 - 3x - 4 = 0
factor out the equation
(x-4)(x+1)=0
solve for x
x-4=0 x+1=0
x=4 x=-1
Answer:
3 hours
Step-by-step explanation:
15 workers * 7 hours = 105 worker hours
105 worker hours / 35 workers = 3 hours
We have $8.50 an hour gross minus $2.15 an hour tax and bennys. Then $3.75 daily expense. In one week our net take-away y after x hours is
y = x(8.50 - 2.15) - 5(3.75)
That's the answer, or we can simplify it to
Answer: y = 6.35 x - 18.75
Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>
Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.
To make $120 in a week, we solve for x where y=120
120 = 6.35x - 18.75
138.75 = 6.35 x
x = 138.75 / 6.35 = 21.8503937007874
That wasn't the nice round number I was expecting/hoping for. I don't see a mistake so let's go with
Answer: 21.85 hours to make $120
Answer:
Each steamer costs $2.5 and each party hat costs $1.5
Step-by-step explanation:
Let the cost of 1 steamer =x
Let the cost of 1 party hat =y
Three rolls of streamers and 15 party hats cost $30
Two rolls of streamers and four party hats for $11.
We solve the two equations simultaneously.
Multiply equation 1 by 2 and equation 2 by 3
6x+30y=60
6x+12y=33
Suntract
18y=27
y=1.5
From 6x+30y=60
6x+30(1.5)=60
6x+45=60
6x=60-45=15
x=2.5
Since x=2.5 and y=1.5
Each steamer costs $2.5 and each party hat costs $1.5
